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Number of way...

Question

Number of ways of selecting 6 shoes out of 8 pairs of shoes, having exactly two pairs is

A

1680

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B

240

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C

120

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D

3360

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Solution

The correct option is A 1680
total ways
$\begin{matrix} =^{8} C_{2} \times^{6} C_{1} \times^{5} C_{1} = 28 \times 2 \times 30 = 840 \times 2 = 1680. H e n c e, t h e o p t i o n A i s c o r r e c t . \end{matrix}$

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